Lecture Notes
Below are the lecture notes from my course on multivariable calculus, as well as some handouts I give to students for some of the experiments in the introductory physics lab courses. Note that I update my notes each term, but this website may not link to the latest editions.
Notes on MTH3015: Calculus III
Visualizing 3D Curves with WolframAlpha
Week 3: Vector-valued Functions; Curves
Week 4: Functions of Several Variables; Limits and Continuity
Week 5: Partial Derivatives; The Chain Rule
Week 7: Directional Derivative and Gradient
Week 8: Taylor Series and Extrema
Week 9: Double Integrals; Polar Integrals
Week 10: Triple Integrals; Cylindrical and Spherical Co-ordinates
Week 11: The Transformation Theorem
Notes on IPL/CPS Physics Labs
Experiment 12: The Simple Pendulum